If 

Upper A equals StartSet x | x is an odd integer EndSet commaA={x | x is an odd integer},  

Upper B equals StartSet x | x is an even integer EndSet commaB={x | x is an even integer}, 

Upper C equals StartSet 2 comma 3 comma 4 comma 5 EndSet commaC={2, 3, 4, 5}, 

and 

Upper D equals StartSet 11 comma 12 comma 13 comma 14 EndSet commaD={11, 12, 13, 14}, 

list the​ element(s) of the following set.

A 

intersect∩ 

D

Question content area bottom

Part 1

A 

intersect∩ 

Dequals=​{enter your response here​} 

   ​(Use a comma to separate elements in the​ set.)

To find the intersection of sets \( A \) and \( D \), let's analyze each set:

- Set \( A = \{x \mid x \text{ is an odd integer}\} \). This means \( A \) contains all odd integers.
- Set \( D = \{11, 12, 13, 14\} \).

The intersection of two sets, denoted by \( A \cap D \), is a set that contains only the elements that are in both sets.

Given that \( A \) contains all odd integers and \( D \) contains the elements 11, 12, 13, and 14, we can find the common elements:

- \( 11 \) is an odd integer.
- \( 13 \) is an odd integer.
- \( 12 \) and \( 14 \) are even integers and do not belong to \( A \).

Thus, the elements common to both \( A \) and \( D \) are 11 and 13.

\[
A \cap D = \{11, 13\}
\]

So, the final answer is:

\[
A \cap D = \{11, 13\}
\]

### Do you want any more details or have any questions?

### Related Questions:
1. What is the definition of the intersection of two sets?
2. How would you find the union of sets \( A \) and \( D \)?
3. What does it mean for a number to be odd or even?
4. How can the intersection be visualized using a Venn diagram?
5. If \( D \) had been \( \{10, 11, 13, 15\} \), what would \( A \cap D \) be?
6. What is the intersection of \( B \) and \( C \)?
7. Can the intersection of two sets ever be empty? Give an example.
8. How do you express the complement of \( A \cap D \)?

### Tip:
When calculating the intersection of two sets, focus only on the elements that are present in both sets. Any element not common to both is excluded.

Explore the intersection of sets A and D, focusing on odd integers. Learn how to find common elements between sets A={x | x is an odd integer} and D={11, 12, 13, 14}. Detailed explanation with examples and solutions provided.

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